ENGLISH

Lectures on minimal surfaces in R3

By Yi Fang

Book information

Publisher
Centre for Mathematics and its Applications, Australian National University
Year
1996
ISBN
0731524438, 9780731524433
Language
english
Format
DJVU
Filesize
5 MB (5396769 bytes)
Series
Proceedings of the Centre for Mathematics and Its Applications, Australian National University 35
Edition
1
Pages
185\185
DPI
600
Orientation
portrait
Paginated
no
Scanned
yes
Time added
2014-08-05 18:46:20

Description

The theory of minimal submanifolds is a fascinating field in differential geometry. The simplest, one-dimensional minimal submanifold, the geodesic, has been studied quite exhaustively, yet there are still a lot of interesting open problems. In general, minimal submanifold theory deeply involves almost all major branches of mathematics; analysis, algebraic and differential topology, geometric measure theory, calculus of variations and partial differential equations, to name just a few of them. In these lecture notes our aim is quite modest. We discuss minimal surfaces in R3 and concentrate on the class of the embedded complete minimal surfaces of finite topological type.

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